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Chapter 16: Problem 19

At what temperature do the Fahrenheit and Celsius scales coincide?

Short Answer

Expert verified
-40 degrees

Step by step solution

01

Set up the equation

The formula to convert Fahrenheit to Celsius is \(C = (F-32)*5/9\). Since we are looking for the temperature where F = C we set them equal to each other in the above formula so we get \(F = (F - 32)*5/9\).
02

Solve the equation

To solve the equation first multiply both sides by 9 to get rid of the fraction: \(9F = 5F - 160\). Then, subtracting \(5F\) from both sides yields \(4F = -160\). Lastly, dividing by 4 gives \(F = -40\).
03

Final Answer

The Fahrenheit and Celsius scales coincide at -40 degrees.

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